Sentence examples for provided a theorem from inspiring English sources

We considered the equilibrium of this model (a discrete-time system) and provided a theorem for its stability, the appropriate control actions and the total system design in order to obtain a stable situation.

Atelier B provides a theorem prover for the B models.

We provide a theorem which shows that we have arbitrarily high order convergence rates in terms of ε/η in the periodic setting.

In this paper, we have provided an approximation theorem for equilibrium problems.

We note that the method of the proof of Theorem 3.1 provides a convergence theorem for a finite family of Lipschitzian pseudocontractive mappings.

We note the method of the proof of Theorem 3.1 provides a convergence theorem for a finite family of continuous monotone mappings.

The existence of a Riesz basis of (V_{j}^{M}) provides a discretization theorem.

This situation is similar to that arising in other theories of principle where, as noted in Section 2.4, one often finds that, next to an empirical principle, the formalism also provides a corresponding theorem.

As an application, we provide a representation theorem for the solution set to each VEP in M. MSC 49K40, 90C31, 46B40, 47H04.

Aoki [3] provided a generalization of Hyers' theorem for approximately additive mappings.

Rassias [6 9] provided a generalization of Hyers' theorem by proving the existence of unique linear mappings near approximate additive mappings.